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Finding the Fourth Proportional to 3,166.22, 4,369.00 and 1,749.82

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Solution

The fourth proportional to 3,166.22, 4,369.00 and 1,749.82 is: 2,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.22 : 4,369.00 = 1,749.82 : x
  2. Step 2: Convert to fraction form
    3,166.22/4,369.00 = 1,749.82/x
  3. Step 3: Cross multiply
    3,166.22x = 4,369.00 × 1,749.82
  4. Step 4: Simplify right side
    3,166.22x = 7,644,951.56
  5. Step 5: Solve for x
    x = 7,644,951.56/3,166.22
  6. Step 6: Final answer
    x = 2,414.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.